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Finding the Third Proportional to 65,832 and 144,164

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Solution

The third proportional to 65,832 and 144,164 is: 315,701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,832 : 144,164 = 144,164 : x
  2. Step 2: Convert to fraction form
    65,832/144,164 = 144,164/x
  3. Step 3: Cross multiply
    65,832x = 144,164 × 144,164
  4. Step 4: Simplify right side
    65,832x = 20,783,258,896
  5. Step 5: Solve for x
    x = 20,783,258,896/65,832
  6. Step 6: Final answer
    x = 315,701.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.